What is the greatest four-digit palindrome?

Answer 1

The largest possible four-digit number is 9999.
In math, a palindrome is a number that reads the same forwards and backwards.

For example: 121 is a palindrome because it reads the same from front to back, and from back to front.

If you want to find the greatest 4-digit palindrome:

We have 4 digits to create, I will represent them by using underscores.

_ _ _ _

For each digit, we can use any number 0 - 9.

For this number to be the greatest, we know that we have to use a 9 in the first digit.

9 _ _ _

And, since we want this number to be a palindrome, we have to use the same digit in the 4th slot.

9 _ _ 9

Only 2 slots left to fill now, and it will be very easy.

Again, we must use any digit 0 - 9 to fill our last 2 slots.

AND this number must be the same to make our number a palindrome.

We can use process of elimination to help us fill in these last 2 slots.

If we put a 0 in those slots, 9009. Are there any 4 digit palindromes larger than this?
Well, yes. 9119. again... any 4 digit palindromes larger?

Again yes. 9229

as you can see, we find larger 4 digit palindromes until...

9999

Once we hit 9999 we've exhausted all possible answers for a 4 digit palindrome.
and that will be your answer.

Answer 2

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